CONTENT

• Introduction of Symmetry
• Making Symmetrical figure: Ink blot Devils
• Two lines of Symmetry
• Figure with multiple lines (more than two) Lines of Symmetry
• Reflection and Symmetry
• Self Assessment Question
• Critical and Creative Thinking Question
• For NCERT Mathematics book click here
• For NCERT exemplar Click here

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symmetry

• When one shape becomes exactly like another if you flip , slide or turn it then the shape is said to be symmetrical.

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symmetry

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• Symmetry is quite a common term used in day to day life. Because these picture of architectural marvel are beautiful because of their symmetry

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Some Symmetric figure

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Now try you

• Write the name of some symmetrical object near you or home.
• Draw the line of symmetry of given shaps.

�Some symmetrical figure

• Take a piece of paper. Fold it in half. Spill a few drop of ink on one half side and press the halves together we find

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• Using graph sheet copy of image and complete them such that the dotted line is the line of symmetry?

Two or more line symmetry figure

• Some figure have two or more line of symmetry ex-

Try Now You Draw the all line of symmetry if Possibile :-

Reflection and Symmetry

• Line symmetry and mirror reflection are naturally related and linked to each other . See Some example

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Reflection and symmetry

• The object and its image are symmetrical with reference to the mirror line.If the paper is folded,the mirror line become the line of symmetry.
• Some English letters look the same after reflection

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What have we discussed ?

• A figure has line symmetry if a line can be drawn dividing the figure into two identical parts. The line is called a line of symmetry.
• Symmetry has plenty of application in everyday life as in art , architecture, textile technology, design creations ,geometrical reasoning, Rangoli etc.
• The line symmetry is closely related to mirror reflection.
• A figure have 1 or 2 or more symmetry line ex-

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Rangoli Pattern

• Rangoli is popular is our country. Because they symmetrical
• Logo of Navodaya or kendriya vidyalaya etc

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Self Assessment

• In figure, l is the line of symmetry.then complete the diagram to make it symmetric
• Complete the figure with two line symmetry.
• Complete the following table.

Can you draw a triangle which has:

1. exactly one line of symmetry?
2. exactly two line of symmetry ?
3. exactly two line of symmetry ?
4. No lines of symmetry ?

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Self Assessment

• Trace each figure and draw the line of symmetry, if any

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• Consider the letters of English alphabets, A to Z. List among them the letters which have :
• Vertical line of symmetry ( like A)
• Horizontal lines of symmetry (like D)
• Both Lines of symmetry ( like H )
• No line of symmetry . (like G)

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Critical and Creative Thinking Question

And it’s Solution

Critical and Creative Thinking Question for you

3.On a squared paper, sketch the following :

1. A triangle with a horizontal line of symmetry but no vertical line of symmetry.
2. A Quadrilateral with both horizontal and vertical lines of symmetry.
3. A Quadrilateral with a horizontal line of symmetry but no vertical line of symmetry
4. A hexagon with exactly two line of symmetry.

4. Fill in the blanks

1. The distance of the image of a point (or an object) from the line of symmetry (mirror) is ________ as that of the point (object) from the line (mirror).
2. The number of lines of symmetry in a picture of Taj Mahal is _______.
3. In Fig. 9.10, if B is the image of the point A with respect to

the line l and P is any point lying on l, then the lengths of line

segments PA and PB are _______.

iv. The digits having only two lines of symmetry are_________

and __________.

v. The digit having only one line of symmetry is __________.

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5. Write the letters of the word ‘MATHEMATICS’ which have no line of symmetry.

6. Write the number of lines of symmetry in each letter of the word ‘SYMMETRY’.

7. Write the number of symmetry of following shapes:

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NCERT activities click here

NCERT activities Link 2 click here

Symmetry Worksheet click here

Symmetry Activities no 1 click here

Symmetry Activities no 2 click here

Symmetry Activities no 3 click here

Symmetry Activities no 4 click here

PISA TYPE QUESTION click here

Symmetry maths game Click here